6(v-7)=8v+42

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Solution for 6(v-7)=8v+42 equation:


Simplifying
6(v + -7) = 8v + 42

Reorder the terms:
6(-7 + v) = 8v + 42
(-7 * 6 + v * 6) = 8v + 42
(-42 + 6v) = 8v + 42

Reorder the terms:
-42 + 6v = 42 + 8v

Solving
-42 + 6v = 42 + 8v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-8v' to each side of the equation.
-42 + 6v + -8v = 42 + 8v + -8v

Combine like terms: 6v + -8v = -2v
-42 + -2v = 42 + 8v + -8v

Combine like terms: 8v + -8v = 0
-42 + -2v = 42 + 0
-42 + -2v = 42

Add '42' to each side of the equation.
-42 + 42 + -2v = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -2v = 42 + 42
-2v = 42 + 42

Combine like terms: 42 + 42 = 84
-2v = 84

Divide each side by '-2'.
v = -42

Simplifying
v = -42

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